Atkin-Lehner |
2+ 3- 5+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
11310d |
Isogeny class |
Conductor |
11310 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-8913566138987250 = -1 · 2 · 316 · 53 · 134 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,15566,-4479154] |
[a1,a2,a3,a4,a6] |
Generators |
[154:1178:1] |
Generators of the group modulo torsion |
j |
417152543917888871/8913566138987250 |
j-invariant |
L |
3.7453442487186 |
L(r)(E,1)/r! |
Ω |
0.19979169550255 |
Real period |
R |
2.3432807350286 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90480v3 33930bc3 56550bl3 |
Quadratic twists by: -4 -3 5 |